Applying strong electric field on piezoelectric actuators,
on one hand very significant electroelastic material nonlinear effects
will occur, on the other hand piezo plates and shells may undergo
large displacements and rotations. In order to give a precise
prediction of piezolaminated smart structures under large electric
field, this paper develops a finite element (FE) model accounting for
both electroelastic material nonlinearity and geometric nonlinearity
with large rotations based on the first order shear deformation
(FSOD) hypothesis. The proposed FE model is applied to analyze
a piezolaminated semicircular shell structure.

This article deals with the analysis of active constrained layer damping (ACLD) of smart multiferroic or magneto-electro-elastic doubly curved shells. The kinematics of deformations of the multiferroic doubly curved shell is described by a layer-wise shear deformation theory. A three-dimensional finite element model of multiferroic shells has been developed taking into account the electro-elastic and magneto-elastic couplings. A simple velocity feedback control law is employed to incorporate the active damping. Influence of layer stacking sequence and boundary conditions on the response of the multiferroic doubly curved shell has been studied. In addition, for the different orientation of the fibers of the constraining layer, the performance of the ACLD treatment has been studied.

Two geometrically nonlinear plate theories, based either on first- or third-order transverse shear deformation theory are used for finite element modeling and simulation of the transient response of smart structures incorporating piezoelectric layers. In particular the time histories of nonlinear vibrations and sensor voltage output of a thin beam with a piezoelectric patch bonded to the surface due to an applied step force are studied.